A Certain Subclass of Multivalent Analytic Functions Defined by the <i>q</i>-Difference Operator Related to the Janowski Functions

Abstract

A class of p-valent analytic functions is introduced using the q-difference operator and the familiar Janowski functions. Several properties of functions in the class, such as the Fekete–Szegö inequality, coefficient estimates, necessary and sufficient conditions, distortion and growth theorems, radii of convexity and starlikeness, closure theorems and partial sums, are discussed in this paper.

Keywords

• analytic functions
• <i>q</i>-difference operator
• univalent and multivalent functions
• Janowski functions
• Fekete–Szegö inequality
• distortion theorem